Prime Ideals and LocalizationThis chapter summarizes standard results in commutative algebra. For more details, see [Bour], Chap. II, III, IV.doi:10.1007/978-3-662-04203-8_1SerreJean-PierreSpringer Berlin Heidelberg
The importance of links between prime ideals in the theory of localization of noncommutative Noetherian rings is now well established, see the book by A. V. Jategaonkar [Localization in Noetherian rings (Lond. Math. Soc. Lect. Note Ser. 98, 1986; Zbl 0589.16014)]. For the reader wishing ...
On universal localization at semiprime Goldie ideals, Ring Theory, Proceedings of the Biennial Ohio State-Denison Conference, May, 1992, S. K. Jain and S. Tariq Rizvi, editors, World Scientific: Singapore, New Jersey, London, Hong ... SK Jain,ST Rizvi - World Scientific 被引量: 3发表:...
If P is an almost complete intersection, then P (i) =P i for all i if and only if A (Q) , the ring of homogeneous elements of degree 0 in A Q , is a complete intersection for all ht1 homogeneous prime ideals Q of A. The similarity between the two results rests on the ...
E.g. given any ring A there is a ring whose prime ideals have precisely the reverse order of the primes of A. In the same vein, on the topological level there is a complete duality between localization and taking residue class rings (see ?8, Proposition 8). We call a space spectral ...
TY - JOURAU - Ratcliff, Louis J., Jr.TI - Note on Asymptotic Prime Divisors and Symbolic Powers of Primary Ideals.JO - Mathematische ZeitschriftPY - 1983VL - 184SP - 417EP - 424LA - engKW - asymptotic prime divisors; symbolic powers; Noetherian ring; powers of primary ideal; Cohen-Mac...
Equivariant localization. One cannot expect, for example, to localize general G-spaces (as opposed to infinite loop G-spaces) at prime ideals of the Burnside ring. We are ... J~ Mcclure,G Triantafillou - 《Bulletin of the London Mathematical Society》 被引量: 44发表: 1982年 Unit spectra ...
In this paper we present a technical lemma about localization at countably infinitely many prime ideals. We apply this lemma to get many results about the finiteness of associated prime ideals of local cohomology modules.doi:10.1142/S0219498816500456Kamal Bahmanpour...
Israel Journal of MathematicsT.H. Lenagan, Localization at height 1 prime ideals in affine prime PI rings, Israel J. Math. (3) 67, (1989), 345-35.T. H. Lenagan, Localization at height one prime ideals in affine prime PI rings, Israel J. Math. 67 (1989), no. 3, 345-352....
This paper discusses a computational treatment of the localizationALof an affine coordinate ringAat a prime idealLand its associated graded algebraGr𝔞(AL)with the means of computer algebra. Building on Mora's paper [T. Mora, La queste del SaintGr𝔞(AL): A computational approach to local ...